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Rota’s umbral calculus and recursions

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Abstract.

Umbral Calculus can provide exact solutions to a wide range of linear recursions. We summarize the relevant theory and give a variety of examples from combinatorics in one, two and three variables.

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Authors and Affiliations

  1. Department of Mathematics, Florida Atlantic University, ., 33431, Boca Raton, FL, USA

    Heinrich Niederhausen

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  1. Heinrich Niederhausen
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Correspondence to Heinrich Niederhausen.

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Dedicated to the Memory of Gian-Carlo Rota

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Niederhausen, H. Rota’s umbral calculus and recursions. Algebra univers. 49, 435–457 (2003). https://doi.org/10.1007/s00012-003-1820-6

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  • DOI: https://doi.org/10.1007/s00012-003-1820-6

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